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Simplifying 2b2 = -1b + 21 Reorder the terms: 2b2 = 21 + -1b Solving 2b2 = 21 + -1b Solving for variable 'b'. Reorder the terms: -21 + b + 2b2 = 21 + -1b + -21 + b Reorder the terms: -21 + b + 2b2 = 21 + -21 + -1b + b Combine like terms: 21 + -21 = 0 -21 + b + 2b2 = 0 + -1b + b -21 + b + 2b2 = -1b + b Combine like terms: -1b + b = 0 -21 + b + 2b2 = 0 Factor a trinomial. (-7 + -2b)(3 + -1b) = 0Subproblem 1
Set the factor '(-7 + -2b)' equal to zero and attempt to solve: Simplifying -7 + -2b = 0 Solving -7 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2b = 0 + 7 -2b = 0 + 7 Combine like terms: 0 + 7 = 7 -2b = 7 Divide each side by '-2'. b = -3.5 Simplifying b = -3.5Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {-3.5, 3}
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